Question

Evaluate: (-4/3)power –2​

Answer 1

Answer:

this is your answer.

Step-by-step explanation:

hope it helped you

Answer 2

$\implies \bf \bigg( { \dfrac{ - 4}{3} \bigg )}^{ - 2}$

We know that :-

$\underline {\boxed{ \bf \large \bigg({\dfrac{a}{b} \bigg )}^{ - n} =\bigg({\dfrac{b}{a} \bigg )}^{ n} } }$

Therefore :-

$\implies \bf \bigg( { \dfrac{ - 4}{3} \bigg )}^{ - 2} = \bigg( { \dfrac{ - 3}{4} \bigg )}^{ 2}$

$\implies \bf \bigg( { \dfrac{ - 3}{4} \bigg )}^{ 2} = \dfrac{ - 3}{4} \times \dfrac{ - 3}{4}$

(-3)²= 9

4² = 16

$\implies \bf \dfrac{ - 3}{4} \times \dfrac{ - 3}{4} = \dfrac{9}{16}$

$\implies \bf \dfrac{ 9}{16}$

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$1)a^m \times a^n= {a}^{(m + n)}$

$2) {( {a}^{m})}^{n}  = {a}^{mn}$

$3) {ab}^{n} = {a}^{n} {b}^{n}$

$4) \frac{ {(a)}^{m} }{ {(a)}^{n} } = {a}^{m - n}$

$5) {a}^{ - b} = \frac{1}{ {a}^{b} }$